Pith Number

pith:3DPSCEQ2

pith:2026:3DPSCEQ2DMHXMHPUP7BUSGI7MU

not attested not anchored not stored refs pending

Bounds on the Bogoliubov--Hartree--Fock Energy of the Pauli--Fierz Hamiltonian

Matthias Herdzik, Volker Bach

arxiv:2606.02759 v1 · 2026-06-01 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DPSCEQ2DMHXMHPUP7BUSGI7MU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-03T01:05:21.097877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8df21121a1b0f761df47fc349191f6515164551816d4976f8bb59bbcf240fc5

Aliases

arxiv: 2606.02759 · arxiv_version: 2606.02759v1 · doi: 10.48550/arxiv.2606.02759 · pith_short_12: 3DPSCEQ2DMHX · pith_short_16: 3DPSCEQ2DMHXMHPU · pith_short_8: 3DPSCEQ2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3DPSCEQ2DMHXMHPUP7BUSGI7MU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d8df21121a1b0f761df47fc349191f6515164551816d4976f8bb59bbcf240fc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77f04fd9f7d74e13a06a28729cfdbaa638c13e48a2913c79686f281c6cf2fafd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-01T18:23:38Z",
    "title_canon_sha256": "2bedf0c786bd901b505d81b72dd235e5260c8f5710017a875dcf7cf792452082"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02759",
    "kind": "arxiv",
    "version": 1
  }
}